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Stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays.

Authors :
Rakkiyappan, R.
Chandrasekar, A.
Lakshmanan, S.
Source :
International Journal of Systems Science. Jul2016, Vol. 47 Issue 10, p2247-2263. 17p.
Publication Year :
2016

Abstract

This paper is concerned with the stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays. The sampling period is assumed to bemin number, whose occurrence probabilities are given constants and satisfy Bernoulli distribution. By introducing an improved Lyapunov–Krasovskii functional with new triple integral terms and by combining both the convex combination technique and reciprocal convex technique, delay-dependent robust stability criteria are obtained in terms of linear matrix inequalities. These linear matrix inequalities can be easily solved by using standard convex optimisation algorithms. The designed stochastic sampled data fuzzy controller gain can be obtained. Finally, three numerical examples are given to illustrate the effectiveness of the proposed methods. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00207721
Volume :
47
Issue :
10
Database :
Academic Search Index
Journal :
International Journal of Systems Science
Publication Type :
Academic Journal
Accession number :
113944636
Full Text :
https://doi.org/10.1080/00207721.2014.981236